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MP
2002
101views more  MP 2002»
13 years 4 months ago
Componentwise fast convergence in the solution of full-rank systems of nonlinear equations
The asymptotic convergence of parameterized variants of Newton's method for the solution of nonlinear systems of equations is considered. The original system is perturbed by a...
Nicholas I. M. Gould, Dominique Orban, Annick Sart...
MP
2011
12 years 7 months ago
An interior-point piecewise linear penalty method for nonlinear programming
We present an interior-point penalty method for nonlinear programming (NLP), where the merit function consists of a piecewise linear penalty function (PLPF) and an 2-penalty functi...
Lifeng Chen, Donald Goldfarb
NA
2007
147views more  NA 2007»
13 years 4 months ago
An adaptive spectral least-squares scheme for the Burgers equation
A least-squares spectral collocation method for the one-dimensional inviscid Burgers equation is proposed. This model problem shows the stability and high accuracy of these scheme...
Wilhelm Heinrichs